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Finding the Fourth Proportional to 27,813.80, 38,385.77 and 15,878.91

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Solution

The fourth proportional to 27,813.80, 38,385.77 and 15,878.91 is: 21,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.80 : 38,385.77 = 15,878.91 : x
  2. Step 2: Convert to fraction form
    27,813.80/38,385.77 = 15,878.91/x
  3. Step 3: Cross multiply
    27,813.80x = 38,385.77 × 15,878.91
  4. Step 4: Simplify right side
    27,813.80x = 609,524,107.72
  5. Step 5: Solve for x
    x = 609,524,107.72/27,813.80
  6. Step 6: Final answer
    x = 21,914.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.